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Article
A Typology for Finite Groups
The College Mathematics Journal
Publication Date
1-1-2013
Document Type
Article
Abstract
Summary This project classifies groups of small order using a group’s center as the key feature. Groups of a given order n are typed based on the order of each group’s center. Students are led through a sequence of exercises that combine proof-writing, independent research, and an analysis of specific classes of finite groups (including the dihedral, symmetric, and alternating groups) to produce a list of groups of each possible type. The project can serve as a capstone experience that unifies group theory with expository mathematical writing.
DOI
10.4169/college.math.j.44.5.432
Publisher Policy
post-print
Citation Information
Erik R. Tou. "A Typology for Finite Groups" The College Mathematics Journal Vol. 44 Iss. 5 (2013) p. 432 - 436 Available at: http://works.bepress.com/erik-tou/2/